Cyclotron radiation and emission in graphene

Morimoto, Takahiro; Hatsugai, Yasuhiro; Aoki, Hideo

doi:10.1103/physrevb.78.073406

Cited by 66 publications

(50 citation statements)

References 22 publications

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“…The magneto-optical conductivity of graphene and its cyclotron response have been studied within the linear response theory in a number of publications [9,10,11,12,13]. Intensive experimental studies of the CR in graphene (as well as other electrodynamic phenomena) have been hampered until recently by the absence of graphene flakes of sufficiently large area.…”

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Nonlinear cyclotron resonance of a massless quasiparticle in graphene

Mikhaǐlov

2009

Phys. Rev. B

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We consider the classical motion of a massless quasi-particle in a magnetic field and under a weak electromagnetic radiation with the frequency ω. Due to the non-parabolic, linear energy dispersion, the particle responds not only at the frequency ω but generates a broad frequency spectrum around it. The linewidth of the cyclotron resonance turns out to be very broad even in a perfectly pure material which allows one to explain recent experimental data in graphene. It is concluded that the linear response theory does not work in graphene in finite magnetic fields.PACS numbers: 81.05. Uw, 73.50.Fq Graphene is a recently discovered two-dimensional (2D) material [1, 2] which has attracted much attention due to its non-trivial and very interesting physical properties, see reviews [3,4]. This is a monolayer of carbon atoms packed in a dense honeycomb lattice. The band structure of electrons in graphene consists of two bands (electron and hole) which touch each other at six corners of the hexagon-shaped Brillouin zone [5]. If graphene is undoped and the temperature is zero, the lower (hole) band is fully occupied while the upper (electron) band is empty. The Fermi level goes through these six, so called Dirac points. Near these points the states of electron and holes are described by the effective Dirac equation with the vanishing effective mass of the quasiparticles, and their energy spectrum is linear,Here p = (p x , p y ) is the electronic momentum, counted from the corresponding Dirac points and V ≈ 10 8 cm/s is the material parameter. It is the massless energy dispersion (1) and the Dirac nature of graphene quasiparticles that result in its amazing physical properties which attracted so much attention in the past years. If a charged massive particle (e.g. electron) is placed in a magnetic field B, it begins to rotate in the plane perpendicular to the field B with the frequency ω c = eB/mc, determined by its mass m and charge e. If such a rotating particle is irradiated by an external electromagnetic wave with the frequency ω, it absorbs the radiation energy if the frequency of the wave is close to the cyclotron frequency, ω ≃ ω c . The phenomenon is called the cyclotron resonance (CR) and is widely used in solid state physics for characterization of material properties such as the charge carrier effective mass and the Fermi surface cross-section in metals and semiconductors [6]. The linewidth of the CR absorption line δω is determined by the scattering rate of 2D electrons and by the radiative decay rate, i.e. by losses of energy of the rotating charged particle due to the re-radiation of electromagnetic waves, see e.g. [7]. In typical semiconductor 2D electron systems, e.g. in GaAs quantum well structures, the linewidth of the CR is small as compared to the CR frequency already in magnetic fields of order of 0

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Nonlinear cyclotron resonance of a massless quasiparticle in graphene

Mikhaǐlov

2009

Phys. Rev. B

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“…The optical response of QHE system is now attracted growing interest. For instance, the cyclotron emission from graphene QHE system has been studied theoretically 28 as well as experimentally with infrared transmission. 29 Specifically, Morimoto et al 30 have shown that the optical Hall conductivity σ xy (ω) has a Hall plateau structure even in the ac (∼ THz) regime, both in the ordinary two-dimensional electron gas (2DEG) and in graphene in the quantum Hall regime, although the plateau height is no longer quantized in ac.…”

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Anomalous criticality at then=0quantum Hall transition in graphene: The role of disorder preserving chiral symmetry

et al. 2010

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We investigate numerically whether the chiral symmetry is the sole factor dominating the criticality of the quantum Hall transitions in disordered graphene. When the disorder respects the chiral symmetry, the plateau-to-plateau transition at the n = 0 Landau level is shown to become anomalous (i.e., step-function-like). Surprisingly, however, the anomaly is robust against the inclusion of the uniform next-nearest neighbor hopping, which degrades the chiral symmetry of the lattice models. We have also shown that the ac (optical) Hall conductivity exhibits a robust plateau structure when the disorder respects the chiral symmetry.

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“…There is also a proposal for the Landau level laser that exploits the transitions between the Landau levels, which was originally proposed for the ordinary 2DEGs (Aoki, 1986;Morimoto et al, 2008). Extensions are also being made for bilayer graphene, where the particle becomes massive, and for manybody physics including FQHE.…”

Section: Qhe In Graphenementioning

confidence: 97%

Integer Quantum Hall Effect

Aoki

2011

Comprehensive Semiconductor Science and Technology

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Cyclotron radiation and emission in graphene

Cited by 66 publications

References 22 publications

Nonlinear cyclotron resonance of a massless quasiparticle in graphene

Nonlinear cyclotron resonance of a massless quasiparticle in graphene

Anomalous criticality at then=0quantum Hall transition in graphene: The role of disorder preserving chiral symmetry

Integer Quantum Hall Effect

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